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Grade 7 Mathematics Online Lessons of Measurements: Area
Calculate the area of each rhombus
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1.
Work out the area of the following figures. (parallelograms)
2.
The area of a parallelogram-shaped plot is #960 m^2#. The perpendicular distance between the parallel sides of the plot is 24 m. What is the length of the plot of land?
3.
The area of a rectangle is #324 cm^2#. The width of the rectangle is 9 cm. Work out the length of the rectangle.
4.
A flower garden is in the shape of parallelogram whose area is #630 m^2#. Each of the two parallel sides is 27 m long. What is the perpendicular distance between the two parallel sides?
5.
Calculate the area of each rhombus
6.
The area of a rhombus is #60 cm^2#. The length of one diagonal of the rhombus is 10 cm. Calculate the length of the other diagonal.
7.
Mutiso fenced a rhombus-shaped orchard using 84 m of wire mesh. The perpendicular distance between two parallel sides is 12 m. What is the area of the rhombus?
8.
Calculate the area of the figures below. trapeziums
9.
What is the area of the figure below? (double trapezium)
10.
A plan of a chicken house is in the shape of a trapezium. The area of the plan is #1080 cm^2#. The lengths of its parallel sides are 55.6 cm and 34.4 cm. Calculate the perpendicular distance between the parallel sides.
11.
Mwangi has a piece of land in the shape of a trapezium. The area of the piece of land is #1586 m^2# and the perpendicular distance between its parallel sides is 26 m. One of the parallel sides is 84 m long. Work out the length of the other parallel side.
12.
Two walls of a kiosk are in the shape of a trapezium shown below. Rukwaro painted the walls on the outside. a) What is the area of the walls did he paint? b) One litre of paint covers #8 m^2#. How many litres of paint did he use to paint the walls?
13.
Calculate the area of each of the following circles. (Use p = 3.14)
14.
Calculate the area of the following: (Use p =#22/7)# a) A circle whose radius is 7 cm long. b) A semicircle whose diameter is 14 cm long.
15.
A circular tabletop has a diameter of 90 cm. Calculate its area. (Use p = 3.14)
16.
A circular metal plate whose diameter is 21 cm long was cut from a square piece of metal whose sides measure 21 cm. What area of the metal plate remained?
17.
The circumference of the base of a circular cooking pan is 48.4 cm. Calculate: a) The diameter of the pan b) The area of the base. (Use p =#22/7#)
18.
Work out the area of the shaded part. (Use p = 3.14)
19.
Calculate the area of the shaded part. #(Use p =22/7)#
20.
A company laid a carpet in their rectangular meeting room leaving a uniform space 0.5 m wide all round. The length of the floor is 15 m and the width is 8 m. What is the area of the carpet?
21.
A restaurant has a circular swimming pool. The pool has a uniform path around it whose area is #6.94 m^2#. The diameter of the swimming pool together with the path is 8.4 m. Work out the area of the swimming pool. #(Use p =22/7)#
22.
Work out the area of the figure below.
23.
What is the area of this figure?
24.
Mutua rears animals in his farm. He has divided his farm to accommodate each type of animal in its own paddock. The figure on the right shows Mutua’s ranch. a) Work out the area of each paddock. b) Work out the total area of the farm.
25.
The figure below shows a path that surrounds a flower garden. What is the area of the path?
26.
The diagram below shows the floor of a building. The floor is covered with a carpet. What is the area of the carpet that covers the floor?
27.
Calculate the area of the following figures in hectares.
28.
Fill in the conversation table below.
29.
Andrew had 6 Ha of land. He planted maize on half of the land and sunflowers on #2/5# Ha. On the rest of the land, he planted millet. a) On what area of the land, in square metres, did he plant millet? b) Work out the area of the land he planted sunflowers in acres.
30.
Chepng’eno has a rectangular piece of land. The land is 180 m wide and has a perimeter of 860 m. a) How many hectares is Chepng’eno’s land? b) How many acres is Chepng’eno’s land? (correct to 2 dpt)
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